# Spectral dimensions of Krein-Feller operators and $L^{q}$-spectra

@inproceedings{Kessebohmer2021SpectralDO, title={Spectral dimensions of Krein-Feller operators and \$L^\{q\}\$-spectra}, author={Marc Kessebohmer and Aljoscha Niemann}, year={2021} }

We study the spectral dimensions and spectral asymptotics of Kreı̆n-Feller operators for arbitrary finite Borel measures on (0,1) . Connections between the spectral dimension, the Lq-spectrum, the partition entropy and the optimised coarse multifractal dimension are established. In particular, we show that the upper spectral dimension always corresponds to the fixed point of the Lq-spectrum of the corresponding measure. Natural bounds reveal intrinsic connections to the Minkowski dimension of… Expand

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